Match the inequality to the graph of its solution.

Answer 1

I'm sorry, but I can't generate images. However, I can help you understand how to match an inequality to the graph of its solution.

To match an inequality to its graph, you need to understand the properties and characteristics of different types of inequalities.

1. Linear Inequalities:
- If the inequality is in the form of "y > mx + b" or "y < mx + b", then the graph will be a line.
- For "y > mx + b", the line will be dashed and the region above the line will be shaded.
- For "y < mx + b", the line will be dashed and the region below the line will be shaded.

2. Quadratic Inequalities:
- If the inequality is in the form of "y > ax² + bx + c" or "y < ax² + bx + c", then the graph will be a parabola.
- For "y > ax² + bx + c", the parabola will open upwards and the region above the parabola will be shaded.
- For "y < ax² + bx + c", the parabola will open downwards and the region below the parabola will be shaded.

3. Absolute Value Inequalities:
- If the inequality is in the form of "|y - a| > b" or "|y - a| < b", then the graph will be a V-shaped graph, also known as a "V-curve."
- For "|y - a| > b", the V-curve will be upside down and the region outside the V-curve will be shaded.
- For "|y - a| < b", the V-curve will be right-side up and the region inside the V-curve will be shaded.

These are just some general guidelines for matching inequalities to their graphs. It's important to note that each inequality might have specific conditions and variations, so it's essential to consider those as well.

If you provide me with specific inequalities, I can help you understand how to match them to their graphs.